Some inequalities for radial Blaschke-Minkowski homomorphisms

Abstract

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Some inequalities for star duality of the radial Blaschke-Minkowski homomorphisms

“…Regarding the studies of the (mixed) radial Blaschke-Minkowski homomorphisms, many results have been found in the previous studies, see, e.g., [5][6][7][9][10][11][12][13][14][15][16][17][18]20].…”

Radial Minkowski additive operators

“…Valuations on convex bodies had been extended to star bodies; Klain in [16] obtained the classification theorem for star-shaped bodies which is a dual analogue of Hadwiger's characterization theorem of the Minkowski mixed volumes. For more results, see [12], [13], [15], [17], [19], [26], [27], [28].…”

Inequalities for general width-integrals of Blaschke-Minkowski homomorphisms

“…a convex body valued valuation. Blaschke-Minkowski homomorphisms have attracted considerable interest, see for example [7], [8], [10], [15], [16], [26], [31], [32], [33], [34], [35].…”